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Finding the Fourth Proportional to 13,005.41, 17,950.28 and 8,222.31

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Solution

The fourth proportional to 13,005.41, 17,950.28 and 8,222.31 is: 11,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.41 : 17,950.28 = 8,222.31 : x
  2. Step 2: Convert to fraction form
    13,005.41/17,950.28 = 8,222.31/x
  3. Step 3: Cross multiply
    13,005.41x = 17,950.28 × 8,222.31
  4. Step 4: Simplify right side
    13,005.41x = 147,592,725.64
  5. Step 5: Solve for x
    x = 147,592,725.64/13,005.41
  6. Step 6: Final answer
    x = 11,348.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.